The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1 2X  1  1  1  X  1 2X  0  1  X  1  1 2X  0  1  1 2X 2X 2X  0  1 2X  1  1  0  0  1  1  1  1  1  1  1  1  1  1  1 2X  0  1  1  1  1  1  1  0 2X  1  1  X 2X
 0  1  0  0  0  0 2X 2X 2X+1 X+1 X+2  1 2X+2  X 2X+1  1 X+1  1 2X+2 2X+2  2  0 2X+2  1  1  1 2X X+2 X+2  1  1  1 2X+1  1  1 2X  0  2  1  1 2X  1  X X+1  0  X 2X 2X+1  2 2X+2  1  0  2  2 2X  1  X  2 2X+1 X+2  X 2X+1  1  1 2X 2X 2X  1
 0  0  1  0  0  X 2X+1  2 2X+2 X+1  0 2X+2  2 X+1 X+2  X  X X+2 X+2 2X+1 2X+1  1  0 2X+1  X X+1  1  1 X+2 2X+1 2X+2 2X 2X+2  2  1  1  1 2X+2  2 X+1  0 2X+1  1  2 X+1  X 2X+2  1  0 X+1  X X+2  1  X  1  X  2 2X+1  1 X+2 X+1 2X X+1 X+2 2X+1  0  1 2X+2
 0  0  0  1  1 2X+2 2X  0 X+2 X+1  0 2X+1  X  1  X  2 2X+1  2  1 X+1  X 2X+1  1 X+2  1  X X+2 2X+2  2 X+1 X+2  0 X+1  0 2X  1  0  1  1  X  X  X X+2  1 X+2 X+2 2X+2 2X+2  2  0 X+2 X+1 X+1  0 2X+2  2  2 2X+1 2X+1 2X  1 X+1  0  X X+1 2X+2  1  0
 0  0  0  0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X  0  X  0  X 2X  0  X  X  X 2X  0  0 2X 2X  0  X  X 2X  X  X 2X 2X 2X  X  0  X  0  0  0  X  X 2X  0  X  0  0  X  0  0  0 2X  0  0  X  0 2X 2X  0  X  0 2X

generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+142x^123+486x^124+318x^125+478x^126+834x^127+522x^128+972x^129+1158x^130+642x^131+966x^132+1206x^133+684x^134+924x^135+1410x^136+612x^137+1048x^138+1278x^139+552x^140+798x^141+1128x^142+564x^143+684x^144+744x^145+300x^146+348x^147+348x^148+138x^149+160x^150+132x^151+36x^152+28x^153+18x^154+6x^155+8x^156+6x^157+4x^159

The gray image is a linear code over GF(3) with n=204, k=9 and d=123.
This code was found by Heurico 1.16 in 7.55 seconds.